neoS3uomdesjca
neoS3uomdesjca neoS3uomdesjca
  • 24-12-2016
  • Mathematics
contestada

Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

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Аноним Аноним
  • 24-12-2016
I hope this helps you
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JcAlmighty
JcAlmighty JcAlmighty
  • 25-12-2016
The answer is incorrect.

The square of binomials is:
(a + b)² = a² + 2ab + b

In (5x³ + 3)², a = 5x³ and b = 3

Substitute it in the formula for the square of binomials:
 (5x³ + 3)² = (5x³)² + 2 * 5x³ * 3 + 3² = 
                 = 25x⁶ + 10x³ + 9

Louise’s answer is 25x⁶ + 9, which is incorrect.
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